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Direct Measurement of Amorphous Solubility Jernej Štukelj, Sami Svanbäck, Mikael Agopov, Korbinian Loebmann, Clare J. Strachan, Thomas Rades, and Jouko Yliruusi Anal. Chem., Just Accepted Manuscript • DOI: 10.1021/acs.analchem.9b01378 • Publication Date (Web): 03 May 2019 Downloaded from http://pubs.acs.org on May 4, 2019
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Analytical Chemistry
Direct Measurement of Amorphous Solubility Jernej Štukelj*1,3, Sami Svanbäck1,3, Mikael Agopov3, Korbinian Löbmann2, Clare J. Strachan1, Thomas Rades2 and Jouko Yliruusi1,3 1
Department of Pharmaceutical Chemistry and Technology, University of Helsinki, Viikinkaari 5E, 00790 Helsinki, Finland
2 Department 3 The
of Pharmacy, University of Copenhagen, Universitetsparken 2, 2100 Copenhagen, Denmark
Solubility Company Oy, Viikinkaari 6, 00790 Helsinki, Finland
* Corresponding author’s E-mail:
[email protected] Keywords: amorphous solubility, supersaturation, Hoffman method, SSPM, SPA method ABSTRACT: Amorphous materials exhibit distinct physicochemical properties compared to their respective crystalline counterparts. One of these properties – the increased solubility of amorphous materials – is exploited in the pharmaceutical industry as a way of increasing bioavailability of poorly water-soluble drugs. Despite the increasing interest in drug amorphization, the analytical physicochemical toolbox is lacking a reliable method for direct amorphous solubility assessment. Here, we show for the first time a direct approach to measure the amorphous solubility of diverse drugs by combining optics with fluidics – the Single Particle Analysis (SPA) method. Moreover, a comparison was made to a theoretical estimation based on thermal analysis and to a standardized supersaturation and precipitation method. We have found a good level of agreement between the three methods. Importantly, the SPA method allowed the first experimental measurement of the amorphous solubility for griseofulvin, a fast crystallizing drug, without the use of a crystallization inhibitor. In conclusion, the SPA approach enables rapid and straightforward determination of the supersaturation potential for amorphous materials of less than 0.1 mg, which could prove highly beneficial in the fields of materials science, analytical chemistry, physical chemistry, food science, pharmaceutical science and others.
thermodynamic equilibrium; the ratio between these two concentrations is the degree of supersaturation DS.
In materials science, amorphous solids lack the three dimensional long-range order characteristic for crystalline solids. The two materials having the same molecular composition, possess distinctly different physicochemical properties. The properties of amorphous materials are successfully exploited in many fields ranging from the electronics, nuclear, chemical and pharmaceutical industries.1–6 The pharmaceutical industry is exploiting one specific property of amorphous materials – their increased solubility compared to the respective crystalline materials (often referred to as ´apparent solubility´) – to enhance the bioavailability of poorly water soluble drugs.7, 8 However, the available physicochemical analytical toolbox lacks a method that would enable direct measurement of amorphous solubility – the maximum drug concentration in solution upon dissolution of amorphous solid. Here, we use a novel technique, combining the fields of optics and fluidics to measure amorphous solubility.
𝛥µ = µ𝑠𝑢𝑝 ― µ𝑒𝑞 𝑎𝑠𝑢𝑝
𝛥µ = 𝑅𝑇 𝑙𝑛( 𝑎𝑒𝑞 )
( ) = 𝑅𝑇 ln (𝐷𝑆)
𝛥µ = 𝑅𝑇 𝑙𝑛
𝐶𝑠𝑢𝑝 𝐶𝑒𝑞
(1) (2) (3)
Before the maximum DS in solution is reached, crystallization of solute molecules can occur. This phenomenon has resulted in difficulties in experimentally determining the maximum DS of amorphous solids when using classical dissolution experiments, as observed by e.g. Murdande et al.10, 14 The maximum DS can alternatively be estimated from data acquired by thermal analysis of the crystalline and respective amorphous samples. An initial method was developed by Hoffman et al.15 and this was later improved by Murdande et al.10, by taking into account the effects of moisture sorption and ionization. As might be expected, the theoretically estimated amorphous solubilities have been higher than the experimentally achieved values.9, 14, 16 Therefore, the accurate experimental measurement of amorphous solubility, especially for fast crystallizing drugs, has gained the general status of “unattainable”.17
Upon dissolution of an amorphous material, a supersaturated solution with a higher chemical potential (µsup) compared to a solution at thermodynamic equilibrium (µeq) is generated (eq. 1).9– 12 The difference in chemical potential (Δµ) is defined as shown in eq. 2, where R is the gas constant, T is the temperature, and asup and aeq are the activity of the solute in a supersaturated state and at the thermodynamic equilibrium, respectively.13 For sufficiently dilute solutions, the activities of the solute in the supersaturated and equilibrium states can be replaced by the respective concentrations of the solute. Therefore, eq. 2 can be written as eq. 3, where Csup is the drug concentration in solution at the point of supersaturation and Ceq is the drug concentration in solution at the 1
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Nevertheless, Almeida et al. reported the first experimental measurement of amorphous solubility of griseofulvin (GRI), a fast crystallizing drug.18 They assessed amorphous solubility by investigating phase separation phenomena upon precipitation, using fluorescent probes. However, a crystallization inhibitor to prevent GRI from crystallizing during the experiment had to be used. Another approach to study drug supersaturation – the Standardized Supersaturation and Precipitation Method (SSPM) – in which drug predissolved in organic solvent is added to aqueous buffer and the onset of precipitation is detected, was developed by Palmelund et al.19 The method has been developed for a standardized comparison of supersaturation duration and DS between different compounds under certain conditions, e.g. in biorelevant media or in the presence of precipitation inhibitors, rather than for the exact measurement of the drug’s amorphous solubility.
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FT 900, Seelbach, Germany). Nitrogen was used as a purge gas (50 mL/min). Samples of 5 to 10 mg were tightly packed into standard aluminum crucibles (40 µL) with pierced lids. The samples were equilibrated at 25°C for 3 minutes and then linearly heated with a heating rate of 10°C/min to 20°C above their respective melting points. Measurements of both amorphous and crystalline samples were recorded in triplicate and thermal events were analyzed using the STARe software (Mettler-Toledo, Greifensee, Switzerland). Temperatures and melting enthalpies were used to estimate the free energy difference between the amorphous and crystalline forms. X-ray Powder Diffraction (XRPD). XRPD diffractograms were recorded using an Aerius diffractometer (Malvern Panalytical B.V., Almelo, the Netherlands) using Cu Kα radiation (λ=1. 1.540598 Å) and a divergence slit of 0.5°. Samples were packed into aluminum sample holders and measured with a step size of 0.0066° at 40 kV and 7.5 mA from 5° to 35° (2θ). Measurements were performed in triplicates with independent samples.
Until now, the direct experimental measurement of amorphous solubility has not been accomplished. The hypothesis that this still is possible, is based on the fusion of fluidics and optics resulting in development of the novel image-based single particle analysis (SPA) method. The method is able to measure the equilibrium solubility of crystalline compounds requiring only a very low amount of material (
